5125213040400 has 240 divisors, whose sum is σ = 18243720868800. Its totient is φ = 1366591703040.

The previous prime is 5125213040399. The next prime is 5125213040411. The reversal of 5125213040400 is 40403125215.

5125213040400 is a `hidden beast` number, since 5 + 1 + 2 + 5 + 213 + 0 + 40 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171586267 + ... + 171616133.

It is an arithmetic number, because the mean of its divisors is an integer number (76015503620).

Almost surely, 2^{5125213040400} is an apocalyptic number.

5125213040400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5125213040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9121860434400).

5125213040400 is an abundant number, since it is smaller than the sum of its proper divisors (13118507828400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5125213040400 is a wasteful number, since it uses less digits than its factorization.

5125213040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45783 (or 45766 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 5125213040400 its reverse (40403125215), we get a palindrome (5165616165615).

The spelling of 5125213040400 in words is "five trillion, one hundred twenty-five billion, two hundred thirteen million, forty thousand, four hundred".